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Finding the Fourth Proportional to 287,884.80, 431,665.20 and 110,397.60

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Solution

The fourth proportional to 287,884.80, 431,665.20 and 110,397.60 is: 165,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,884.80 : 431,665.20 = 110,397.60 : x
  2. Step 2: Convert to fraction form
    287,884.80/431,665.20 = 110,397.60/x
  3. Step 3: Cross multiply
    287,884.80x = 431,665.20 × 110,397.60
  4. Step 4: Simplify right side
    287,884.80x = 47,654,802,083.52
  5. Step 5: Solve for x
    x = 47,654,802,083.52/287,884.80
  6. Step 6: Final answer
    x = 165,534.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.